What transformation was not done to the linear parent function, f(x) = x, to get the function g(x) = - 5(x - 3) - 8 ? A. Reflection over the x-axis B. Shift down 8 units C. Horizontal stretch by a factor of 5 D. Shift right 3 units

Answers

Answer 1

Answer:

A. Reflection over the x-axis.

Step-by-step explanation:

Now, we present how to transform [tex]f(x) = x[/tex] into [tex]g(x) = -5\cdot (x-3)-8[/tex] below:

1) [tex]f(x) = x[/tex] Given.

2) [tex]f(x-3) = x - 3[/tex] Horizontal shift to the right.

3) [tex]-5\cdot [f(x-3)] = -5\cdot (x-3)[/tex] Vertical scale factor.

4) [tex]-5\cdot f(x-3)-8 = -5\cdot (x-3)-8[/tex] Vertical shift downwards.

5) [tex]g(x) = -5\cdot (x-3)-8[/tex] Definition/Result

In consequence, the only transformation which was not done to the linear parent function was a reflection over the x-axis. The correct answer is A.


Related Questions

David recorded the total number of miles he has driven in his car. He did not record data on day 5 or 8. The graph is shown below. using extrapolation estimate how many total miles he will have driven on day 5

A 115
B 102
C 80
D 130​

Answers

Answer: 225

Step-by-step explanation:

I just want the answer. Plis help me

Answers

-23
That is what I think it is. Sorry if that doesn’t help!
i believe the answer is 1

free paints and brianliest
Marry christmas guys

Answers

Answer:

Yo

Merry Christmas and have a great day onwards

and thank you ❤

Answer:

thanks a lot friend!!!

Step-by-step explanation:

.......

expand and simplify 5(2x+1)-2(3x-6)

Answers

Answer:

4x + 17

Step-by-step explanation:

10x+5-2(3x-6)

10x + 5-6x+12

BRAINIST & 20 POINTS!!

Answers

Answer:

y=2/3x-5

Step-by-step explanation:

First, let's put this equation into slope-intercept form.

2x-3y=24

-3y=-2x+24

y=2/3x-8

For two lines to be parallel, they must have the same slope. Therefore our slope is 2/3.

Now, we must find b. To do that we can plug the y and the x in.

-7=2/3(-3)+b

-7=-2+b

-5=b

y=2/3x-5

Answer:

y = [tex]\frac{2}{3}[/tex]x - 5

Step-by-step explanation:

Points: (-3, -7)

Equation: 2x - 3y = 24

2x - 3y = 24

-3y = -2x + 24

y = [tex]\frac{2}{3}[/tex]x - 8

y = [tex]\frac{2}{3}[/tex]x + b

-7 = [tex]\frac{2}{3}[/tex] ( -3 ) + b

-7 = -2 + b

b = -5

y = [tex]\frac{2}{3}[/tex]x - 5

Find the value of x that makes m || n
(2x+20) 3x

Answers

Answer:

x = 20

Step-by-step explanation:

For the lines to be parallel, then (3x + 20) and (3x) are alternate angles and congruent, thus

3x = 2x + 20 ( subtract 2x from both sides )

x = 20

Hello! Can someone please help me with this 1 questions! thank you so much! (i’ll give brainlist)

Answers

Answer:

x = 10 mm is the answer

pls mark me as the brainliest

Hector invests $10,000 at age 21. He hopes the investments will be worth $150,000 when he turns 50. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Write your answer as a percentage rounded to one decimal place.

Answers

Answer:

9.33%

Step-by-step explanation:

Step one:

given

Principal= $10,000

Final amount = $150,000

time = 50-21= 29 years

Required

The rate

Step two:

to solve for the rate we can apply the formula for rate as

r = ln(A/P) /t

r= ln(150000/10000)/29

r= ln(15)/29

r=2.7080502011/29

r=0.0933

r= 0.0933*100

r= 9.33%

January 19 national popcorn day. A bag of popcorn has the average of 450 kennels if 4%% of the kernels dont pop how manu pieces of popcorn will the bag make

Answers

Answer:

The bag will make 432 pieces of popcorn.

Step-by-step explanation:

From the information given, you know that the bag has an average of 450 kernels and that 4% don't pop. So, with this information you can find the pieces of popcorn that the bag will made by calculating 4% of the average number of kernels in a bag and subtracting the result from that amount:

450*4%=18

450-18=432

According to this, the answer is that the bag will make 432 pieces of popcorn.

PLSS HELP!! NEED ASAP!!! MARKING BRAINLIEST!!! PLS EXPLAIN!!! At the produce store you can buy 4 bags of bananas for $22.52. How much would it cost if you were to buy 2 bags?

Answers

Step-by-step explanation:

4 bags of bananas for $22.52

=> 2 bags of bananas for $22.52 * 2/4 = $11.26.

Hence it would cost $11.26.

x+3y=0
9y=-3x
how many solutions does this sytem have

Answers

Answer:

0 solutions

Step-by-step explanation:

when the 2 equations aresolved they get cancelled off each other.

Answer:

Infinite solutions

Step-by-step explanation:

got it right

A person walked x feet and half that length again

Answers

Answer:

3/2x

Step-by-step explanation:

x feet and half x = x+1/2x or 3/2x

Hope this helps plz hit the crown :D

How much will a 100% affect my grade if I have 42%
please I got a 0 and it dropped my grade by half and if I have an F I have to go in person

Answers

Hi!

So your grade depends on how much the 2 scores are weighted.

BUT, if the 42 and 100 have equal weights of 50/50, you will have a 71% C

If the 100 isn't weighted that much, I'd guess it'd be around 75/25, your grade will be a 56% F

Try to get as many high grades or extra credits as possible!

Please mark brainliest and ask more if you need help!

A large random sample of adults aged 40 to 50 living in San Francisco, California, was polled about how likely they are to purchase an electric vehicle sometime in the next year. To which population can the results of the poll safely be generalized

Answers

Answer:

Adults living in San Francisco, California

Step-by-step explanation:

The population is the large group from which the sample is selected or chosen. In the question given the sample is drawn from the adult population of  San Francisco who are aged 40 to  50 to find out whether they can buy

an electric vehicle sometime in the next year.

The population it can be generalized to is adults living in San Francisco, California.

A population is defined as the group of all the individual members or objects having some common interest or characteristics.

The individual members are called the sampling units or simply units.

Answer:

adults only who live in San Francisco

There are 35 people who have
entered the sled race. If 60% of
them are over the age of 15, how
many participants are over 15?

Answers

21 people are over 15
21 people are over the age of 15.

On Saturday, many tickets fir a hockey game were sold. Children and adult were in the ratio of 4:7. There are 88 tickets in total. How many adult tickets were sold?

Answers

Answer:

56 adult tickets were sold

Step-by-step explanation:

Ratio of ticket sold to Children and adult is in the ratio 4 : 7

Total ratio = 4 +7 = 11

Ratio of adult = 7

Total ticket sold = 88

Number of adult tickets sold = Ratio of adult/Total ratio * Total ticket sold

Number of adult tickets sold = 7/11 * 88

Number of adult tickets sold = 7 * 8

Number of adult tickets sold  = 56 tickets

Hence 56 adult tickets were sold

It can be equal to the set and it can contain all the elements that are present in the set

Answers

Answer: yes

Step-by-step explanation:

In a school with 400 students, a random sample of 40 students were asked which fruit is their favorite. Their responses are shown below.

Apple - 10
Banana - 12
Peach - 8
Pear - 6
Strawberries - 4

Using proportional reasoning, about how many students in the school would you expect to select an pear as their favorite fruit?

Answers

Answer:

60

Step-by-step explanation:

divide 400 by 40 you get the answer 10

now multiply 6 by 10 you get the answer 60 thats is the total pear fruit

A sequence is defined by the recursive formula f (n + 1) = f(n) – 2. If f(1) = 18, what is f(5)?

Answers

Step-by-step explanation:

f(2)=18-2=16

f(3)=16-2=14

f(4)=14-2=12

Then,

f(5)=12-2=10

the answer is 10

Square LAMP has vertices L(-2, -3), A(4, -1), M(2,5), and P(-4, 3). What is the
perimeter of the square?

Answers

Answer:

The perimeter of the square LAMP is 8[tex]\sqrt{10}[/tex] units

Step-by-step explanation:

The rule of the distance between two points (x1, y1) and (x2, y2) is

d = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]

∵ LAMP is a square

∵ The sides of the square are equal in lengths

LA = AM = MP = PL

Let us find the length of one side of it

∵ L = (-2, -3) and A = (4, -1)

x1 = -2 and y1 = -3

x2 = 4 and y2 = -1

→ Substitute them in the rule of the distance above to find LA

∵ LA = [tex]\sqrt{(4 - -2)^{2}+(-1--3)^{2}}[/tex]

∴ LA = [tex]\sqrt{(4+2)^{2}+(-1+3)^{2}}[/tex]

∴ LA = [tex]\sqrt{(6)^{2}+(2)^{2}}[/tex]

∴ LA = [tex]\sqrt{36+4}[/tex] = [tex]\sqrt{40}[/tex]

→ Simplify the root

LA = 2[tex]\sqrt{10}[/tex] units

∵ The perimeter of the square = 4 × side

∴ The perimeter of the square = 4 × 2[tex]\sqrt{10}[/tex]

∴ The perimeter of the square = 8[tex]\sqrt{10}[/tex]

The perimeter of the square LAMP is 8[tex]\sqrt{10}[/tex] units

A rug is 6 feet wide and 10 feet long. What is the ratio of the length to the width in simpliest form?

*3:5
*3:8
*5:3
*8:3

Answers

Hey,

Length to width ratio ;

[tex] \frac{10}{6} = \frac{10 \div 2}{6 \div 2} = \frac{5}{3} [/tex]

`Sorry if it's wrong

Good luck :)

In ΔPQR, \overline{PR} PR is extended through point R to point S, \text{m}\angle QRS = (4x-15)^{\circ}m∠QRS=(4x−15) ∘ , \text{m}\angle RPQ = (x+1)^{\circ}m∠RPQ=(x+1) ∘ , and \text{m}\angle PQR = (x-2)^{\circ}m∠PQR=(x−2) ∘ . Find \text{m}\angle RPQ.m∠RPQ.

Answers

Answer:

Step-by-step explanation:

Notice that, the angle QRS is external to the triangle and adjacent to the angle PRQ. According to the theorem of a external/adjacent angle, we have: m∠QRS = m∠PQR + m∠RPQ, where PQR and RPQ are internal angles.

From the hypothesis, we have:

m∠QRS =(10x−12)∘(10x−12)

m∠PQR = (3x+20)∘(3x+20)

m∠RPQ=(3x−8)∘(3x−8)

Using the first equation and replacing the hypothesis:

m∠QRS = m∠PQR + m∠RPQ

(10x−12)∘(10x−12) = (3x+20)∘(3x+20) + (3x−8)∘(3x−8)

Multiplying and applying the remarkable identity:

Then, we use a calculator to find the roots, which are:

In this case, we will see what root is the right one.

Now, we replace it into m∠QRS =(10x−12)∘(10x−12), because we need to find m∠QRS.

m∠QRS =(10x−12)∘(10x−12) = (10(4.7) - 12) (10(4.7) - 12) = (35) (35) = 1225

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

if you are doing deltamath

does anyone know what the. distance would be ?? plz answer asap only if you are correct:)

Answers

Answer:

6 units :)

Step-by-step explanation:

What is the GCF of 105x,30x and 75x?
I

Answers

Answer:

15x

Step-by-step explanation:

1) If you are driving 75 MPH and you sneeze you lose sight of the road for 6 seconds. How many feet do you drive in those 6 seconds? explain you're answer, pls !​

Answers

Answer:

0.125 feet

75/60 to get minutes

0.02/60 to get seconds

multiply by 6

Step-by-step explanation:

660 feet. 75 mph /60 to get minutes which equals 1.25. They travel 1.25 miles every minute. To fond second you would do 1.25/60 since there are 60 seconds in a minute. You get 0.020... that’s how much of a mile they travel per second. Multiply by 6 to figure out how much of a mile within 6 seconds which is 0.125 miles (not feet). Then you convert this to feet. There are 5280 feet in a mile so you multiply that by the amount of miles which is 0.125 which equals 660 feet. They traveled 660 feet within those 6 seconds of sneezing and looking away from the road. Answer above almost got it but forgot to convert to feet.

I need helpppp....:(​

Answers

Answer:

D

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

For a pentagon with n = 5 , then

sum = 180° × 3 = 540° , thus

x = 540° ÷ 5 = 108

For an octagon with n = 8, then

sum = 180° × 6 = 1080° , thus

y = 1080° ÷ 8 = 135

Thus

x + y = 108 + 135 = 243 → D

The ratio of pens to pencils is 5 to 4. If there are 25 pencils, how many pens are there?

Answers

Answer: 20 pens

5x5=25

5x4=20

My you pls answer this questions

Answers

Step-by-step explanation:

hlejsjsisjdjsisjsjsjsjsjsisjsnsjssjjsjsjs as

The radio station in North Pole, AK plays Christmas songs all day and night from Thanksgiving through Christmas. They play 12 per hour for 15 hours a day, and 8 songs per hour for the rest of the day. They like to have a mix of traditional and modern songs with a relationship of 9 traditional songs to every 5 modern songs. How many traditional songs and how many modern songs will they play in one day?

Answers

Answer:

Traditional = 162

Modern = 90

Step-by-step explanation:

Given that:

12 songs per hour for 15 hours

8 songs per hour for the rest of the day ; (24 - 15) = 9 hours ;

That is ; 8 songs per hour for 9 hours

Total number of songs played per day :

(12 * 15) + (8 * 9) = 252 songs

If songs are mixed using the ratio 9:5 (traditional : modern)

Traditional songs :

(9 * 252) / (9 + 5) = 162

Modern songs :

(5 * 252) / (9 + 5) = 90

(brainliest for correct answer) write an equation in slope/intercept.

Answers

Answer:

y=-2x+2

Step-by-step explanation:

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